21. Find the equation of the perpendicular bisector of the segment joining (1, 2) and (5, 4) (Figure 12). Hint: The midpoint Q of the segment joining (a, b) and (c, d) is| ´a +c b+d Perpendicular bisector (5, 4) (1, 2) FIGURE 12

Q: 3. [For students with ID # ending in 4 or 5.] Through the point (4, 2, -5) and perpendicular to the…

A: Given, through the point (4, 2, -5) and perpendicular to the plane…

Q: Find the distance between the point (5, 1) and the line y = 3x + 1. O 3V10 O 7/10 O 9/10 O 5V10

A:

Q: What are the coordinates of the point on the directed line segment from (-6,-10) to (6,8) that…

A: Our Aim is to find the coordinates of the point on the directed line segmentfom (-6,-10) to (6,8)…

Q: 8. Find the point (x. y) such that (1, 3) is the midpoint of the line segment connecting a. (x, y)…

A:

Q: What are the directing cosines of the line whose symmetric is (x + 2)/ - 1= (y-3)/ 2 = (z + 4)/ 6

A:

Q: Find the point on the line 5x + y = 5 that is closest to the point  (−4, 1).   x,y= (  , )

A:

Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: What are the coordinates of the point on the directed line segment from (-4,-9) to (1,1) that…

A: This question is related to line. We will solve this question by using section formula.

Q: 4) (10) Follow the result of above question, find the distance of the point (3,-2,1) to the line 2x…

A: See the attachment

Q: Find the equation of the perpendicular bisector of the segment joining (1, 2) and (5, 4)

A:

Q: Find the point on y – axis which is equidistant from the points (3, 1, 2) and (5, 5, 2)

A:

Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: Suppose the midpoint of RT is M = (3,0). If point R has the coordinates of (-1, 4), what are the…

A: Given midpoint RT is M =(3,0)

Q: 21. Find the equation of the perpendicular bisector of the segment joining (1,2) and (5,4) (Figure…

A:

Q: Find the distance of the point (2, 2, –5) from the line r(t) = (1+4t, –1+ 4t,7 – 3t) %3D swer:

A:

Q: Suppose that receiving stations X, Y. and Z are located on a coordinate plane at the points (5,10).…

A:

Q: What are the coordinates of the point on the directed line segment from (-1,-8) to- (5, -2) that…

A:

Q: What are the coordinates of the point on the directed line segment from (-6,-10) to (6,8) that…

A: Given- The line segment from (-6,-10) to (6,8). To Find- The coordinates of the point that…

Q: 2. Find the coordinates of the midpoint of the segment whose endpoints are H(2, 1) and K(10, 7). (8,…

A: To calculate the mid point of join of given points. To find the slope of the line perpendicular to…

Q: 15. Reflect the point (2, -4) over the y- axis. O a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A: We know that the reflection of a point about the y-axis makes the x-coordinate negative. So, the…

Q: 6- Find the distance from the Point AC,2,1) to the line joining the too Points B Co,5,2), C(3,2,7)

A: fghk

Q: Find the midpoint of the line segment from P1=(-5,5) top2=(3,1) . Plot the points p1andp2 and their…

A: given,     a line segment from p1=-5,5 and p2=3,1

Q: Find the shortest distance between the point Q(2, 0, 0) and the line segment joining the points…

A: Formula used: Distance between the point and a line is, D=PQ×uu Where u=P2-P1

Q: 7. Reflect parallelogram RSTU with vertices R(-2, 3), S(2, 4), T(2,-3), U(-2,–4) in the line y = -x.…

A: Reflection in Y axis  : (x , y ) → (-x , - y )

Q: Graph the image of square ABCD after a reflection across the y-axis. 10 4 2. -10 -8- -4 0. 4. 6. 8.…

A:

Q: with the guldin's proposition 1 get the contents of the rotating object that occurs if the land…

A: As per the question we are given a 2d region bounded by the curve : y = 6 - 3x - x2 and the straight…

Q: Evaluate ryz ds, where C is the line segment from (3, 0, 1) to (0, 2, 5).

A: Given function is ∫Cxyz ds Given points are r1=3,0,1 and r2=0,2,5 We can write the given points in…

Q: Show that -ydx+xdy) = x₁y₂-₂₁ where C is the line segment joining (x,y) and (x₂,₂).

A: We have to prove ∫C-ydx+xdy=x1y2-x2y1 Where C is the line segment joining x1,y1 and x2,y2 Now…

Q: Find the equation of the Mane that contains the line 3X - 2:2 = - 39 = 7-7 and that is Para llel to…

A: When the plane is parallel to the line x-y+z=2: Here n1→=i^-j^+k^ and a→=2i^+3j^+k^ To find…

Q: What is the distance between the points M(-3,1) and N(7,-3)?

A:

Q: 1. In the standard (x, y) coordinate plane, the endpoints of a segment are (2, 7) and (12, 19). What…

A: The endpoints are 2, 7 and 12, 19To find the x-coordinate of midpoint.

Q: Show that the distance between the line 3x 4y + 3 = 0 and the point (1, –1) is 2. |

A: In this question, we have to prove that the distance between line and point is 2.

Q: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

A: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

Q: 9. Reflect the point (3, 2) over the following axes or lines. Reflection Over New Coordinates x -…

A: Definition used -                    Reflection of a point over the x-axis -…

Q: 10. In the standard (x, y) coordinate plane, line r contains the points (6, 5) and (b,-5), and line…

A: Given problem is :

Q: Find the length of the line segment described by, (x,y,z)=(1,2,1) +t(-1,5,4)), where 0<t<5.

A:

Q: Find the coordinates of the midpoint of a segment with the given endpoints 1) T(3,1), U(5,3) 2)…

A: By midpoint formula, the coordinates of the midpoint of a segment with the endpoints (x1, y1) and…

Q: What is the distance from the point S(-2, 3, -2) to the line of intersection of the planes 2x + 3y +…

A:

Q: What are the coordinates of the point on the directed line segment from (-5,-7) to (1, –1) that…

A: we have to find the coordinate of the point on the directed line segment into a ratio of 1 to 2

Q: 2) Find the coordinates of the midpoint of a segment with given endpoints. 6. X(2, -7), Y(-1, 7) 4.…

A:

Q: 2. Find the equation of the line that is parallel to the intersection of planes 12, 2x-8y + z = 0…

A:

Q: What are coordinates of AABC with A(-4,3), B(3,1), and C(2,-5) after a reflection over the line y=x?

A: The coordinates of triangle ∆ABC are A-4, 3, B3, 1 and C2, -5To find the reflection over the line…

Q: Graph the image of rhombus TUVW after a translation 5 units right and 12 units down. W 10 V U 4- 2…

A: given,         A rhombus TUVW,             T= (-8,6)            V=(0,10)           W=(-5,10)…

Q: Find the midpoint of the line segment with the given endpoints. 3. (4,-1) and (-5,9) 7.2.1 Core…

A:

Q: Let M(-8, 10) be the midpoint of a line segment joining two points P and Q. If the coordinates of P…

A:

Q: What are the coordinates of the point on the directed line segment from (-1, 4) to (8,-8) that…

A:

Q: Suppose that L is a line through the points (a, 2, c) and (3, –4, 2) that is parallel to one of the…

A: Given that: L is a line passing through (a,2,c) and (3, -4, 2) and parallel to one of the axes.

Q: standard form of the line with center (5,1) and tangent to the line 7x+2y=17

A: Given Data: Center: (x1, y1) = (5, 1) Tangent: 7x+2y=17   The general equation of tangent is,…

Q: 3. What is the equation of a line that passes through A(-1,-1) and is perpendicular to segment BC:…

A:

Q: what is the ends of latus rectum and axis of symmetry of (y+7)2=4(x-3/2)

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the standard…